What is the Greatest Common Factor of 25749 and 25757?

Greatest common factor (GCF) of 25749 and 25757 is 1.

GCF(25749,25757) = 1

We will now calculate the prime factors of 25749 and 25757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25749 and 25757.

How to find the GCF of 25749 and 25757?

We will first find the prime factorization of 25749 and 25757. After we will calculate the factors of 25749 and 25757 and find the biggest common factor number .

Step-1: Prime Factorization of 25749

Prime factors of 25749 are 3, 2861. Prime factorization of 25749 in exponential form is:

25749 = 3² × 2861¹

Step-2: Prime Factorization of 25757

Prime factors of 25757 are 43, 599. Prime factorization of 25757 in exponential form is:

25757 = 43¹ × 599¹

Step-3: Factors of 25749

List of positive integer factors of 25749 that divides 25749 without a remainder.

1, 3, 9, 2861, 8583

Step-4: Factors of 25757

List of positive integer factors of 25757 that divides 25749 without a remainder.

1, 43, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25749 and 25757. The biggest common factor number is the GCF number.
So the greatest common factor 25749 and 25757 is 1.

Also check out the Least Common Multiple of 25749 and 25757